DocumentCode :
48995
Title :
On the Construction of Nonbinary Quantum BCH Codes
Author :
Gadioli La Guardia, Giuliano
Author_Institution :
Dept. of Math. & Stat., State Univ. of Ponta Grossa, Ponta Grossa, Brazil
Volume :
60
Issue :
3
fYear :
2014
fDate :
Mar-14
Firstpage :
1528
Lastpage :
1535
Abstract :
Four quantum code constructions generating several new families of good nonbinary quantum nonprimitive nonnarrow-sense, Bose-Chaudhuri-Hocquenghem codes, are presented in this paper. The first two are based on Calderbank-Shor-Steane (CSS) construction derived from two nonprimitive Bose-Chaudhuri-Hocquenghem codes. The third one is based on Steane´s enlargement of nonbinary CSS codes applied to suitable subfamilies of nonprimitive nonnarrow-sense Bose-Chaudhuri-Hocquenghem codes. The fourth construction is derived from suitable subfamilies of Hermitian dual-containing nonprimitive nonnarrow-sense Bose-Chaudhuri-Hocquenghem codes. These constructions generate new families of quantum codes whose parameters are better than the ones available in the literature.
Keywords :
BCH codes; Bose-Chaudhuri-Hocquenghem codes; CSS construction; Calderbank-Shor-Steane construction; Hermitian dual-containing nonprimitive nonnarrow-sense codes; nonbinary quantum BCH codes construction; Cascading style sheets; Context; Generators; Indexes; Linear codes; Polynomials; Quantum mechanics; Bose–Chaudhuri–Hocquenghem codes; cyclotomic coset; quantum codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2014.2298137
Filename :
6702478
Link To Document :
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